{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import theano\n",
    "\n",
    "import pymc3 as pm\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data was downloaded from https://www.kaggle.com/camnugent/sandp500"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Volume</th>\n",
       "      <th>Name</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2012-08-13</td>\n",
       "      <td>92.29</td>\n",
       "      <td>92.59</td>\n",
       "      <td>91.74</td>\n",
       "      <td>92.40</td>\n",
       "      <td>2075391.0</td>\n",
       "      <td>MMM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2012-08-14</td>\n",
       "      <td>92.36</td>\n",
       "      <td>92.50</td>\n",
       "      <td>92.01</td>\n",
       "      <td>92.30</td>\n",
       "      <td>1843476.0</td>\n",
       "      <td>MMM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2012-08-15</td>\n",
       "      <td>92.00</td>\n",
       "      <td>92.74</td>\n",
       "      <td>91.94</td>\n",
       "      <td>92.54</td>\n",
       "      <td>1983395.0</td>\n",
       "      <td>MMM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2012-08-16</td>\n",
       "      <td>92.75</td>\n",
       "      <td>93.87</td>\n",
       "      <td>92.21</td>\n",
       "      <td>93.74</td>\n",
       "      <td>3395145.0</td>\n",
       "      <td>MMM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2012-08-17</td>\n",
       "      <td>93.93</td>\n",
       "      <td>94.30</td>\n",
       "      <td>93.59</td>\n",
       "      <td>94.24</td>\n",
       "      <td>3069513.0</td>\n",
       "      <td>MMM</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         Date   Open   High    Low  Close     Volume Name\n",
       "0  2012-08-13  92.29  92.59  91.74  92.40  2075391.0  MMM\n",
       "1  2012-08-14  92.36  92.50  92.01  92.30  1843476.0  MMM\n",
       "2  2012-08-15  92.00  92.74  91.94  92.54  1983395.0  MMM\n",
       "3  2012-08-16  92.75  93.87  92.21  93.74  3395145.0  MMM\n",
       "4  2012-08-17  93.93  94.30  93.59  94.24  3069513.0  MMM"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('./data/all_stocks_5yr.csv.zip', compression='zip')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1258, 3)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stocks = ['GOOG']\n",
    "df_stocks = df.loc[df.Name.isin(stocks), ['Date', 'Close', 'Name']]\n",
    "df_stocks.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>Name</th>\n",
       "      <th>GOOG</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2012-08-13</th>\n",
       "      <td>329.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-14</th>\n",
       "      <td>334.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-15</th>\n",
       "      <td>333.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-16</th>\n",
       "      <td>336.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-17</th>\n",
       "      <td>338.23</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Name          GOOG\n",
       "Date              \n",
       "2012-08-13  329.67\n",
       "2012-08-14  334.00\n",
       "2012-08-15  333.44\n",
       "2012-08-16  336.10\n",
       "2012-08-17  338.23"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_stocks = df_stocks.pivot(index='Date', columns='Name', values='Close')\n",
    "df_stocks.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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ZWeTl5VFcXNzXQ+lTkZGRZGVl9fUwRERERNqlrLaRz3aWcO0pI7r93iPSYliyMZ9HP9oF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\nIiIiItJA/w//dx3USli3ewAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105805dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_stocks.plot(figsize=(12, 5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "t = np.arange(len(df_stocks))\n",
    "t = (t-t.mean())/t.std()\n",
    "\n",
    "y = df_stocks.values[-100:]\n",
    "y_mean = y.mean()\n",
    "y_std = y.std()\n",
    "y = (y - y_mean) / y_std"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 14,300:  13%|█▎        | 26289/200000 [00:05<00:36, 4717.76it/s]\n",
      "Convergence archived at 26700\n",
      "Interrupted at 26,700 [13%]: Average Loss = 1.8221e+05\n",
      "100%|█████████▉| 999/1000 [01:04<00:00, 19.69it/s]/Users/sachin/anaconda/lib/python3.5/site-packages/pymc3/step_methods/hmc/nuts.py:440: UserWarning: The acceptance probability in chain 0 does not match the target. It is 0.669370797818, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      "100%|██████████| 1000/1000 [01:04<00:00, 15.58it/s]\n",
      "/Users/sachin/anaconda/lib/python3.5/site-packages/pymc3/step_methods/hmc/nuts.py:448: UserWarning: Chain 2 reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n",
      "  'reparameterize.' % self._chain_id)\n"
     ]
    }
   ],
   "source": [
    "n_samples = 500\n",
    "with pm.Model() as model:\n",
    "    σ = pm.Exponential('σ', 1)\n",
    "    f = pm.GaussianRandomWalk('f', sd=σ, shape=len(y))\n",
    "    \n",
    "    sd = pm.HalfNormal('sd', sd=.1)\n",
    "    likelihood = pm.Normal('y', mu=f, sd=sd, observed=y)\n",
    "    \n",
    "    trace = pm.sample(n_samples, njobs=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rMnGopAkrnt2O5zafgs5ozY9b1tiFmlY95iX3Pcy2q0yNCYTJwlFU752ZNX4o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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12921cf98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,5))\n",
    "plt.plot(y)\n",
    "plt.plot(trace['f'].T, 'r', alpha=.05)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b31a978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(trace['sd'], 100)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 4.8624e+05:  24%|██▎       | 47380/200000 [00:10<00:34, 4474.85it/s]\n",
      "Convergence archived at 47800\n",
      "Interrupted at 47,800 [23%]: Average Loss = 6.7532e+05\n",
      "100%|██████████| 1000/1000 [01:30<00:00, 11.09it/s]\n"
     ]
    }
   ],
   "source": [
    "n_samples = 500\n",
    "with pm.Model() as model:\n",
    "    σ = pm.Exponential('σ', 1/np.abs(np.diff(y,axis=0)).mean())\n",
    "    f = pm.GaussianRandomWalk('f', sd=σ, shape=len(y))\n",
    "    \n",
    "    sd = pm.Bound(pm.Normal, lower=0.0, upper=0.1)('sd', mu=0.0, sd=1.0, testval=1.0)\n",
    "    likelihood = pm.Normal('y', mu=f, sd=sd, observed=y)\n",
    "    \n",
    "    trace = pm.sample(n_samples, njobs=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zzxvDHZeIbMuR3Gr8c2cWrpoagksnBiKjtH5EdqenFddhc3Ixfj43csjrcGnk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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12d35af98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,5))\n",
    "plt.plot(y)\n",
    "plt.plot(trace['f'].T, 'r', alpha=.05)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+BvjFKde0oqq6HfjGktXnAnu753uB88Z9XoN+bX8I/A7wj9MuZAQFfDLJnd2dyJvBjwIL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\nZ9BLUuP+P2SvOMBFUN5wAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12d2a5a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(trace['sd'], 100)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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jm8p8I58UlSRNFy/9l6RGbJqCPuw2A0kenOTy7vkbkmxd8NxruvV3JvmZYcdM8q5u/a1J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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12e36e898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(trace['σ'], 100)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Volatility Process"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "df_stocks['lnP'] = np.log10(df_stocks.GOOG)\n",
    "df_stocks['log_return'] = df_stocks.lnP.diff()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>Name</th>\n",
       "      <th>GOOG</th>\n",
       "      <th>lnP</th>\n",
       "      <th>log_return</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2012-08-13</th>\n",
       "      <td>329.67</td>\n",
       "      <td>2.518079</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-14</th>\n",
       "      <td>334.00</td>\n",
       "      <td>2.523746</td>\n",
       "      <td>0.005667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-15</th>\n",
       "      <td>333.44</td>\n",
       "      <td>2.523018</td>\n",
       "      <td>-0.000729</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-16</th>\n",
       "      <td>336.10</td>\n",
       "      <td>2.526469</td>\n",
       "      <td>0.003451</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-17</th>\n",
       "      <td>338.23</td>\n",
       "      <td>2.529212</td>\n",
       "      <td>0.002744</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Name          GOOG       lnP  log_return\n",
       "Date                                    \n",
       "2012-08-13  329.67  2.518079         NaN\n",
       "2012-08-14  334.00  2.523746    0.005667\n",
       "2012-08-15  333.44  2.523018   -0.000729\n",
       "2012-08-16  336.10  2.526469    0.003451\n",
       "2012-08-17  338.23  2.529212    0.002744"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_stocks.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "returns = df_stocks.log_return[-250:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = -917.68:  37%|███▋      | 73471/200000 [00:14<00:25, 4974.64it/s]\n",
      "Convergence archived at 73900\n",
      "Interrupted at 73,900 [36%]: Average Loss = 116.5\n",
      " 88%|████████▊ | 879/1000 [01:03<00:08, 13.96it/s]/Users/sachin/anaconda/lib/python3.5/site-packages/pymc3/step_methods/hmc/nuts.py:440: UserWarning: The acceptance probability in chain 1 does not match the target. It is 0.502383584651, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      " 90%|█████████ | 903/1000 [01:04<00:05, 16.83it/s]/Users/sachin/anaconda/lib/python3.5/site-packages/pymc3/step_methods/hmc/nuts.py:440: UserWarning: The acceptance probability in chain 2 does not match the target. It is 0.607684645963, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      "100%|██████████| 1000/1000 [01:11<00:00, 14.03it/s]\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as sp500_model:\n",
    "    nu = pm.Exponential('nu', 1./10, testval=5.)\n",
    "    sigma = pm.Exponential('sigma', 1./.02, testval=.1)\n",
    "\n",
    "    s = pm.GaussianRandomWalk('s', sigma**-2, shape=len(returns))\n",
    "    volatility_process = pm.Deterministic('volatility_process', pm.math.exp(-2*s))\n",
    "\n",
    "    r = pm.StudentT('r', nu, lam=1/volatility_process, observed=returns)\n",
    "    trace = pm.sample(n_samples, njobs=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[<matplotlib.axes._subplots.AxesSubplot object at 0x1294b80b8>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x1294fe908>],\n",
       "       [<matplotlib.axes._subplots.AxesSubplot object at 0x12951d5c0>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x12a85f208>]], dtype=object)"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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v+7gvqDnMVMt4prlqMPDKUJQt208ND0M/lkiGYcUz+f2BJh49MHKgkEI0EYwN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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12e333748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.traceplot(trace, [nu, sigma], combined=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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rfNzqPU3pcVbJCx/4M/0b6Ohl4NYyXRMrKyYwZSW9qFCiux4W/T6c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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11c6dbcc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dates = np.array([np.datetime64(d) for d in df_stocks.index])[-250:]\n",
    "\n",
    "plt.figure(figsize=(12, 5))\n",
    "plt.plot(dates, returns)\n",
    "plt.plot(dates, 1/np.exp(trace['s',::5].T), 'r', alpha=.05)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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